10102220010 has 192 divisors, whose sum is σ = 28658448000. Its totient is φ = 2460395520.

The previous prime is 10102219937. The next prime is 10102220027. The reversal of 10102220010 is 1002220101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10102219974 and 10102220001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6238981 + ... + 6240599.

It is an arithmetic number, because the mean of its divisors is an integer number (149262750).

Almost surely, 2^10102220010 is an apocalyptic number.

10102220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14329224000).

10102220010 is an abundant number, since it is smaller than the sum of its proper divisors (18556227990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10102220010 is a wasteful number, since it uses less digits than its factorization.

10102220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10102220010 its reverse (1002220101), we get a palindrome (11104440111).

Subtracting from 10102220010 its reverse (1002220101), we obtain a palindrome (9099999909).

The spelling of 10102220010 in words is "ten billion, one hundred two million, two hundred twenty thousand, ten".